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snow_lady [41]
3 years ago
15

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

)=x√+6, x≥0 g(x)=x+6−−−−√, x≥−6
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

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Igoryamba
Volume=legnth times width times height
since it is a cube, legnt=width=height so
volume=height^3 or width^3 or legnth ^3 so

height =5 so
5^3=5 times 5 times 5=125 cubic inches

the answer is C
5 0
3 years ago
I can decide on the answer
maxonik [38]

Answer:

X=9

Step-by-step explanation:

3x-15=12

Add 15 to both sides which makes it

3x=27

Divide by 3, which gives you 9

7 0
3 years ago
If f(x)=x^2-3x,find f(-18). Show work
scoundrel [369]
Answer: 378

-------------------------------------
-------------------------------------

Work Shown:

f(x) = x^2 - 3x
f(x) = ( x )^2 - 3*( x )
f(-18) = ( -18 )^2 - 3*( -18 ) ... replace every x with -18; now use PEMDAS
f(-18) = 324 - 3*( -18 )
f(-18) = 324 + 54
f(-18) = 378

6 0
3 years ago
In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop
babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as \frac{d}{dt}(PI)

From the product rule of derivatives

\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600

So the rate at which the total income is increasing is$1627415600

8 0
3 years ago
The quadrilateral TOMA on a coordinate plane has the following characteristics.
guapka [62]

Answer:

trapezoid

Step-by-step explanation:

y = 4x     slope = 4

y' = 4x -16   slope = 4

TA // OM

TA: -1 ≤ x ≤ 0   (limited value)

OM: 3 ≤ x ≤ 5

TA and OM limited in different range, their length is not equal

The shape is a trapezoid

7 0
2 years ago
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